6746000 has 40 divisors (see below), whose sum is σ = 16316664. Its totient is φ = 2697600.

The previous prime is 6745997. The next prime is 6746039. The reversal of 6746000 is 6476.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 6635776 = 332^2 + 2576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314 + ... + 3686.

Almost surely, 2^6746000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158332).

6746000 is an abundant number, since it is smaller than the sum of its proper divisors (9570664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6746000 is a wasteful number, since it uses less digits than its factorization.

6746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 6746000 is about 2597.3062969161. The cubic root of 6746000 is about 188.9508191137.

The spelling of 6746000 in words is "six million, seven hundred forty-six thousand".